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Finding the Third Proportional to 24,192.75 and 37,382.63

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Solution

The third proportional to 24,192.75 and 37,382.63 is: 57,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192.75 : 37,382.63 = 37,382.63 : x
  2. Step 2: Convert to fraction form
    24,192.75/37,382.63 = 37,382.63/x
  3. Step 3: Cross multiply
    24,192.75x = 37,382.63 × 37,382.63
  4. Step 4: Simplify right side
    24,192.75x = 1,397,460,651.89
  5. Step 5: Solve for x
    x = 1,397,460,651.89/24,192.75
  6. Step 6: Final answer
    x = 57,763.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.